Results 51 to 60 of about 125 (64)

Quasi-uniformities on topological semigroups and bicompletion

Semigroup Forum, 2001
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S Romaguera, H P A Kunzi
exaly   +3 more sources

On the bicompletion of a partial quasi-metric space and $$T_{0}$$-quasi-metric spaces

Afrika Matematika, 2020
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Seithuti Moshokoa
exaly   +3 more sources

EXTENSIONS OF CONTINUOUS MAPS TO THE BICOMPLETION IN KM-FUZZY QUASI-METRIC SPACES

Far East Journal of Mathematical Sciences, 2017
Seithuti Moshokoa
exaly   +3 more sources

The bicompletion of an asymmetric normed linear space

Acta Mathematica Hungarica, 2002
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García-Raffi, L. M., Romaguera, S., Sánchez-Pérez, E. A.   +2 more
openaire   +3 more sources

Bicompleting weightable quasi-metric spaces and partial metric spaces

Rendiconti Del Circolo Matematico Di Palermo, 2002
The theories of partial metric spaces and of weightable quasi-metric spaces are equivalent, as was shown by \textit{S. G. Matthews} [Ann. New York Acad.Sci. 728, 183--197 (1994; Zbl 0911.54025)]. The present authors prove that the bicompletion of a weightable quasi-metric space is weightable.
S Romaguera, E A Sanchez-Perez
exaly   +3 more sources

Bicompletion and Samuel Bicompactification

Applied Categorical Structures, 2002
Let \(T:\mathbf{QU}_0 \to\text\textbf{TOP}_0\) be the forgetful functor, where \(\mathbf{QU}_0\) is the category of quasi-uniform \(T_0\)-spaces and \(\mathbf{TOP}_0\) is the category of topological \(T_0\)-spaces. A functor \(F:\mathbf{TOP}_0\to\text\textbf{QU}_0\) is called a \(T\)-section if \(T\circ F: \mathbf{TOP}_0 \to\text\textbf{TOP}_0\) is the
Guillaume C. L. Brümmer, Hans-Peter A. Künzi   +1 more
openaire   +3 more sources

A characterization of bicompletable fuzzy quasi-metric spaces

Fuzzy Sets and Systems, 2005
An internal characterization of fuzzy quasi-metric spaces which admit a fuzzy quasi-metric bicompletion is given, and the uniqueness of such a bicompletion is also proved.
Valentín Gregori, Salvador Romaguera, Almanzor Sapena   +2 more
openaire   +1 more source

Bicompleting the left quasi-uniformity of a paratopological group

Archiv der Mathematik, 1998
Extending results from the theory of topological groups to paratopological groups, the authors show that the bicompletion of the left quasi-uniformity of a paratopological \((T_0)\)-group \(G\) can be considered a topological semigroup which contains \(G\) as a sup-dense subsemigroup. Furthermore they characterize those paratopological \((T_0)\)-groups
Marín, Josefa, Romaguera, Salvador
openaire   +1 more source

Bispaces admitting only bicomplete or only totally bounded quasi-metrics

Rendiconti del Circolo Matematico di Palermo, 2001
The authors extend the following result: a (pseudo) metrizable topological space admits only complete (pseudo) metrics if and only if it is compact. In section 2 the above result is studied for quasi-(pseudo) metrizable bispaces. An example shows that it is not true that quasi-metrizable bispaces \((X,S,T)\) admit only bicomplete quasi-metrics if and ...
Künzi, H. P. A., Romaguera, S., Salbany, S.   +2 more
openaire   +2 more sources

FIBREWISE BICOMPLETE QUASI-UNIFORM SPACES

Far East Journal of Mathematical Sciences (FJMS), 2015
Summary: We introduce the notion of complete quasi-uniform spaces over a base space \(B\) and give some properties of these spaces. We introduce a general method to obtain fibrewise completion of quasi-uniform spaces over \(B\) and give internal descriptions of fibrewise completions for two different types.
Park, Jin Won, Lee, Byung Sik
openaire   +2 more sources